If that happens you can stiffen up your cloth by picking another tougher preset, its probably set to silk or something light and whispy. I normally go pretty stiff but then crank up the gravity to get it to hang at the level I want.
Or just select a edge that runs the length of the wire, convert to shape (spline) and you have a new wire with a constant diameter that follows the new shape.
You can also use reactors rope modifier which operates on splines and holds its shape better. But be warned reactor is very much dependent on the scale your working on and really isn't as fast and flexible as the live simulate button in cloth, or the live drag.
Also I'm not sure if I or someone else already mentioned this, too lazy to look right now, but using a spline painter like the one in Graphite modeling tools or Soulburn Scripts Spline Painter (what I prefer) you can paint splines on other objects, which is great for drawing out wires really fast.